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Finding the Third Proportional to 627,712 and 805,968

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Solution

The third proportional to 627,712 and 805,968 is: 1,034,844.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,712 : 805,968 = 805,968 : x
  2. Step 2: Convert to fraction form
    627,712/805,968 = 805,968/x
  3. Step 3: Cross multiply
    627,712x = 805,968 × 805,968
  4. Step 4: Simplify right side
    627,712x = 649,584,417,024
  5. Step 5: Solve for x
    x = 649,584,417,024/627,712
  6. Step 6: Final answer
    x = 1,034,844.67

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.